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current location:Mathematical operation > History of Inequality Computation > Answer
    Overview: 1 questions will be solved this time.Among them
           ☆1 inequalities

[ 1/1Inequality]
    Assignment:Find the solution set of inequality -x^2+x+2 <= x/x^2+1 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
        -x ^ 2 + x + 2 <= x / x ^ 2 + 1         (1)
        From the definition field of divisor
        x ≠ 0        (2 )

    From inequality(1):
         x ≤ -1 或  -0.000001 ≤ x ≤ 1 或  1 ≤ x ≤ 1 或  x ≥ 1
    From inequality(2):
         x < 0 或  x > 0

    From inequalities (1) and (2)
         x ≤ -1 或  -0.000001 ≤ x < 0 或  0 < x ≤ 1 或  1 ≤ x ≤ 1 或  x ≥ 1    (3)

    The final solution set is :

         x ≤ -1 或  -0.000001 ≤ x < 0 或  0 < x ≤ 1 或  1 ≤ x ≤ 1 或  x ≥ 1




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